1. The Great Pyramid of Giza was originally 147m tall and has a square base that
ID: 3005722 • Letter: 1
Question
1. The Great Pyramid of Giza was originally 147m tall and has a square base that is 230m long on each side. It is constructed from limestone whose density is 2100kg / m3 . Draw a graph representing the pyramid and find appropriate formulas. Decide how you will slice it to get square slices, then find a formula for the volume of a typical slice.
2. Find a formula for the amount of work done lifting a typical slice from ground level to its final position in the pyramid.
3. Calculate the exact total amount of work done to build the pyramid.
Explanation / Answer
The volume V of any pyramid with height h and a base with area B is equal to one-third the product of the height and the area of the base.
Formula: V = (1/3)Bh = (1/3)(230)(230)(147)
Mass = V*Density = 1/3)(230)(230)(147) (2100)=5443410000
The center of mass of a right pyramid it at h/2 so the 'average' height the 'average' mass was raised was
(147)/2 = 103.9446968 meters.
The total work done moving 5443410000 kg through 103.9446968 meters is
W = mhg = 5443410000x 103.9446968 x9.8 Joules= 5.5449733x 10^12 Joules
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.